Craft's Self-Referential Law

A Unifying Incremental Framework/ Craft's Self-Referential Law sₙ ~ n^p , Δn ~ n^(p-1) , p = a + 1 Growth formula: sₙ≈nᵖ, Δn≈n^(p-1), p=a+1. sₙ is total at step n, Δn is change at n. Find a from early data: e.g., Δ₁=5, Δ₂=4, r=Δ₂/Δ₁=0.8, a=log(0.8)/log(2)≈-0.32, p≈0.68. Predict future Δn and sₙ.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-26
DOI
https://doi.org/10.5281/zenodo.17239110
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Craft's Self-Referential Law

Zenodo (CERN European Organization for Nuclear Research)
Analytic and geometric function theory
article

Craft's Self-Referential Law

article en

Abstract

A Unifying Incremental Framework/ Craft's Self-Referential Law sₙ ~ n^p , Δn ~ n^(p-1) , p = a + 1 Growth formula: sₙ≈nᵖ, Δn≈n^(p-1), p=a+1. sₙ is total at step n, Δn is change at n. Find a from early data: e.g., Δ₁=5, Δ₂=4, r=Δ₂/Δ₁=0.8, a=log(0.8)/log(2)≈-0.32, p≈0.68. Predict future Δn and sₙ.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 38%
Analytic and geometric function theory
DOIOpen Access PDFOpenAlex
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Craft's Self-Referential Law · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS